ELI5: Explain Like I'm 5

Chordal graph

Okay kiddo, imagine you have a bunch of dots. These dots are the things we call "vertices" in math. Now, let's say we have lines connecting some of these dots. These lines are what we call "edges".

Now, imagine that we have a special type of graph where every loop of vertices with at least four dots has an edge in the middle connecting the opposite dots. This special type of graph is called a "chordal graph".

Think of it like playing a game of connect the dots, but instead of just connecting the dots however we want, we have to make sure that if we create a loop of at least four dots, there MUST be a line connecting the opposite dots.

This type of graph pops up in lots of different types of complex systems, like computer networks or biological systems. And it's super cool because we can use special math tricks to figure out really important information about these systems just from the way the dots and edges are arranged in the graph!